Which is equal to (x + 4)(-3x^{2} - 4x + 2)?

A: -3x^{3} - 16x^{2} - 14x + 8

B: -3x^{2} - 4x + 8

C: -3x^{2} - 3x + 6

D: -3x^{3} - 4x^{2} + 2x + 8

Multiply out the brackets:

(x + 4)(-3x^2 - 4x + 2)

= x(-3x^2 - 4x + 2) + 4(-3x^2 - 4x + 2)

= -3x^3 - 4x^2 + 2x -12x^2 - 16x + 8

= -3x^3 - 16x^2 - 14x + 8

(Answer A)

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